Free Printable Rotational Dynamics Review

1.

When will a force not apply a torque?

a)

The the force is directed towards or away from the axis of rotation.

b)

When the force is applied perpendicular to the lever arm.

c)

When the force is a gravitational force.

d)

When the force is a normal force.

2.

If the body is moving in a circle of radius r with a constant speed v, its angular velocity is

a)

v²/ r

b)

vr

c)

v / r

d)

r / v

3.

A disk rotates with an angular speed $\omega$ . What is the linear speed v of a point on the disk located a distance r away from the axis of rotation?

a)

$\omega r$

b)

$\frac{\omega}{r}$

c)

$\frac{r}{\omega}$

d)

$\omega^2r$

4.

Klyde's angular velocity is

a)

the same as Bonnie's

b)

twice Bonnie's

c)

half of Bonnie's

d)

1/4 Bonnie's

5.

What is happening to the ice skater as she brings her leg closer to her torso?

a)

Decreased Angular velocity, decreased rotational inertia

b)

Decreased Angular velocity, increased rotational inertia

c)

Increased Angular velocity, increased rotational inertia

d)

Increased Angular velocity, decreased rotational inertia

6.

The graph above shows the angular velocity of an object with respect to time.

During which time intervals is there a net torque on the object? Select all that apply.

a)

0-2s

b)

2-6s

c)

6-8s

d)

8-10s

7.

The graph above shows the angular velocity of an object with respect to time.

During which time intervals is there a positive change in angular momentum of the object? Select all that apply.

a)

0-2s

b)

2-6s

c)

6-8s

d)

8-10s

8.

A metal hoop is released from rest on an incline. The hoop then rolls without slipping down the incline.

Which of the following forces will cause a change in the hoops angular momentum as it rolls? Consider the axis of rotation to be the center of the hoop. Select all that apply.

a)

The normal force

b)

The gravitational force

c)

The static friction force

d)

The kinetic friction force

9.

A metal hoop is released from rest on an incline. The hoop then rolls without slipping down the incline.

Which of the following answer choices best describes the direction of the friction force on the hoop?

a)

Up the incline

b)

Down the incline

c)

Perpendicular away from the incline

d)

Perpendicular towards the incline

10.

A child is on a merry-go-round at a distance of 1m away from the center spinning with an angular velocity of $\omega\ _0$ . The child then walks to the edge of the merry-go-round (a distance of 2m away from the center).

What would you define as the system to analyze this problem?

a)

The merry-go-round and the child.

b)

The child only.

c)

The merry-go-round only.

d)

You do not need to define a system to solve this problem.

11.

A child is on a merry-go-round at a distance of 1m away from the center spinning with an angular velocity of $\omega\ _0$ . The child then walks to the edge of the merry-go-round (a distance of 2m away from the center).

Which answer best describes the final angular speed of the child+merry-go-round system in relation to the initial angular speed?

a)

$\omega_f>\omega_0$

b)

$\omega_f=\omega_0$

c)

$\omega_f<\omega_0$

d)

The comparative angular speeds cannot be determined.

12.

A child is on a merry-go-round at a distance of 1m away from the center spinning with an angular velocity of $\omega\ _0$ . The child then walks to the edge of the merry-go-round (a distance of 2m away from the center).

Which answer best describes the magnitude of the final angular momentum of the child+merry-go-round system in relation to the initial angular momentum?

a)

$L_f>L_0$

b)

$L_f=L_0$

c)

$L_f<L_0$

d)

The comparative angular momenta cannot be determined.

13.

What will cause a change in a systems angular momentum?

a)

A net torque over time.

b)

Any net force over time.

c)

A change in rotational inertia of the system.

d)

A change in angular speed of the system.

14.

Klyde's linear velocity is

a)

the same as Bonnie's

b)

twice Bonnie's

c)

half of Bonnie's

d)

1/4 Bonnie's

15.

A given force is applied to a wrench to turn a bolt of specific rotational inertia I which rotates freely about its center.

Which of the following has the greatest angular acceleration?

a)

F

b)

A

c)

B

d)

E

e)

C

16.

A given force is applied to a wrench to turn a bolt of specific rotational inertia I which rotates freely about its center.

Which of the following has the greatest torque? Select all that apply.

a)

E

b)

B

c)

C

d)

D

e)

F

17.

A sphere of mass M, radius r, and rotational inertia I is released from rest at the top of an inclined plane of height h.

If the plane is frictionless, what is the speed of the center of mass of the sphere at the bottom of the incline?

a)

$\sqrt{2gh}$

b)

$\frac{2Mgh}{I}$

c)

$\frac{2Mghr^2}{I}$

d)

$\sqrt{\frac{2Mghr^2}{I}}$

e)

$\sqrt{\frac{2Mghr^2}{I+Mr^2}}$

18.

A sphere of mass M, radius r, and rotational inertia I is released from rest at the top of an inclined plane of height h.

If the sphere rolls without slipping, which equation could be used to describe the energy of the sphere-earth system at the top and bottom of the ramp?

a)

$mgh=\frac{1}{2}mv^2+\frac{1}{2}I\omega^2$

b)

$mgh=\frac{1}{2}I\omega^2$

c)

$mgh=\frac{1}{2}mv^2$

d)

$mgh+\frac{1}{2}mv_0^2=\frac{1}{2}mv_f^2+\frac{1}{2}I\omega^2$

Rotational Dynamics Review

Total questions: 18

Worksheet time: 13mins

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